Suppose a box on a frictionless ramp is being pulled by a rope with a tension of 350 N making an angle of 50 degrees to the horizontal ground.If...

The tension in the rope used by which the box is being
moved is equal to 350 N. The rope makes an angle of 50 degrees with the
horizontal.

The box is on a ramp inclined at 20 degrees. It
is pulled a distance equal to 5 m using the rope.

We can
divide the force exerted by the rope on the box into two components, one that is in the
direction of motion of the box and another which is perpendicular to the direction of
motion of the box.

Work is done only by the component that
is in the direction of motion of the box. This is equal to: 350* cos (50 -
20)

=> 350* cos
30

=> 350* (sqrt 3 /
2)

=> 175* sqrt 3

The
work done is force* distance = 175* sqrt 3 * 5

=>
875* sqrt 3

=> 1515.5
J

The work done in pulling the box is equal
to 1515.5 J